To verify whether x ÷ (y + z) ≠ (x ÷ y) + (x ÷ z) when x = 12, y = -14, and z = 2, we can substitute these values into the equation and check if both sides are equal.
Let's evaluate each side separately:
Left side: x ÷ (y + z)
= 12 ÷ (-14 + 2)
= 12 ÷ (-12)
= -1
Right side: (x ÷ y) + (x ÷ z)
= (12 ÷ -14) + (12 ÷ 2)
= (-6/7) + 6
= 6 - 6/7
= 36/7 - 6/7
= 30/7
Since -1 is not equal to 30/7, we can conclude that x ÷ (y + z) is not equal to (x ÷ y) + (x ÷ z) when x = 12, y = -14, and z = 2.